It strips the base off of the path to the file. In variable expansion, ## means "take the thing to my right, treat it as a pattern, and delete the longest match of it in the variable to my left."
In this case the pattern is /*/, so the longest match of that in a variable which included a path and filename would be the path. Deleting it would leave only the filename.
It appears to be a variable-expansion-only way of writing this:
It strips the base off of the path to the file. In variable expansion, ## means "take the thing to my right, treat it as a pattern, and delete the longest match of it in the variable to my left."
In this case the pattern is /*/, so the longest match of that in a variable which included a path and filename would be the path. Deleting it would leave only the filename.
It appears to be a variable-expansion-only way of writing this:
That trims "/*/" (everything from the first slash to the last slash) from the beginning of the string.
So if npFile="/path/to/file" - fineName would become "file"